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Taya2010 [7]
3 years ago
6

Are they Equivalent why or why not?

Mathematics
1 answer:
Olin [163]3 years ago
7 0
They are equivalent because when you distribute the -0.5 into 3x+5 you get the expression -1.5x+2.5
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A business owner opens one store in town A. The equation p(x) = 10,000(1.075) represents the anticipated profit after t years. T
alexgriva [62]
The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t

So, given that both store A and store B follow the same equations but t is different for them, you can right:

Store A: pA (t)  10,000 (1.075)^t

Store B: pB(t'): 10,000 (1.075)^t'

=> pA(t) / pB(t') = 1.075^t / 1.075^t'

=> pA(t) / pB(t') = 1.075 ^ (t - t')

And t - t' = 0.5 years

=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368

or pB(t') / pA(t) = 1.075^(-0.5) = 0.964

=> pB(t') ≈ 0.96 * pA(t)

Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.


7 0
3 years ago
Read 2 more answers
a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
1 year ago
Can someone help me out ASAP and possible step by step
OlgaM077 [116]

Answer:

  49°

Step-by-step explanation:

The given information that BC=DC tells you triangle BCD is an isosceles triangle and that angle y is one of the two equal base angles. Then ...

  y + y + 82 = 180 . . . . . the sum of angle measures is 180 degrees

  2y = 98 . . . . subtract 82

  y = 49 . . . . . divide by 2

The measure of y is 49°.

8 0
3 years ago
15 divided by 84<br> i need the answer now
Bingel [31]

Answer:

0.1785

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Sketch the graph of y= (x - 3)2 - 25, then select the graph that corresponds
kupik [55]

Answer:

graph C

Step-by-step explanation:

because the vertex is h,k. h is -3 k is -25. C is the only graph with a vertex at that location.

5 0
3 years ago
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